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Finding the Fourth Proportional to 23,467.50, 32,385.17 and 12,857.18

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Solution

The fourth proportional to 23,467.50, 32,385.17 and 12,857.18 is: 17,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.50 : 32,385.17 = 12,857.18 : x
  2. Step 2: Convert to fraction form
    23,467.50/32,385.17 = 12,857.18/x
  3. Step 3: Cross multiply
    23,467.50x = 32,385.17 × 12,857.18
  4. Step 4: Simplify right side
    23,467.50x = 416,381,960.02
  5. Step 5: Solve for x
    x = 416,381,960.02/23,467.50
  6. Step 6: Final answer
    x = 17,742.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.